Least Common Multiple of 317 and 318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 317 and 318 the smallest integer that is 100806 that is divisible by both numbers.

Least Common Multiple (LCM) of 317 and 318 is 100806.

LCM(317,318) = 100806

LCM of 317 and 318

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 317 and 318

LCM of 317 and 318 is 100806

Least common multiple can be found by multiplying the highest exponent prime factors of 317 and 318. First we will calculate the prime factors of 317 and 318.

Prime Factorization of 317


317 317
1

Prime factors of 317 are 317. Prime factorization of 317 in exponential form is:

317 = 3171

Prime Factorization of 318


2 318
3 159
53 53
1

Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:

318 = 21×31×531

Now multiplying the highest exponent prime factors to calculate the LCM of 317 and 318.

LCM(317,318) = 21×31×531×3171
LCM(317,318) = 100806

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1, 317

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Least Common Multiple of 317 and 318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 317 and 318, than apply into the LCM equation.

GCF(317,318) = 1
LCM(317,318) = ( 317 × 318) / 1
LCM(317,318) = 100806 / 1
LCM(317,318) = 100806

Properties of LCM 317 and 318

(i) The LCM of 318 and 317 is associative

LCM of 317 and 318 = LCM of 318 and 317

Related Least Common Multiples of 317

Related Least Common Multiples of 318

Frequently Asked Questions on LCM of 317 and 318

1. What is the LCM of 317 and 318?

Answer: LCM of 317 and 318 is 100806.

2. What are the Factors of 317?

Answer: Factors of 317 are 1, 317. There are 2 integers that are factors of 317. The greatest factor of 317 is 317.

3. What are the Factors of 318?

Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.

4. How to Find the LCM of 317 and 318?

Answer:

Least Common Multiple of 317 and 318 = 100806

Step 1: Find the prime factorization of 317

317 = 317

Step 2: Find the prime factorization of 318

318 = 2 x 3 x 53

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 100806 = 2 x 3 x 53 x 317

Step 4: Therefore, the least common multiple of 317 and 318 is 100806.